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Finding the Fourth Proportional to 611.14, 843.33 and 345.61

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Solution

The fourth proportional to 611.14, 843.33 and 345.61 is: 476.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.14 : 843.33 = 345.61 : x
  2. Step 2: Convert to fraction form
    611.14/843.33 = 345.61/x
  3. Step 3: Cross multiply
    611.14x = 843.33 × 345.61
  4. Step 4: Simplify right side
    611.14x = 291,461.17
  5. Step 5: Solve for x
    x = 291,461.17/611.14
  6. Step 6: Final answer
    x = 476.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.